Start with the tortilla. Mix peanut butter with honey in a small bowl. Spread mixture on tortillas. Thinly slice 1/2 of the banana, and place slices on top of peanut butter. Sprinkle grated carrot on top of banana slices. Roll up tortilla tightly (using a dab of peanut butter and/or toothpicks to hold together) and slice diagonally.